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Finding the Third Proportional to 21,807 and 47,068

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Solution

The third proportional to 21,807 and 47,068 is: 101,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807 : 47,068 = 47,068 : x
  2. Step 2: Convert to fraction form
    21,807/47,068 = 47,068/x
  3. Step 3: Cross multiply
    21,807x = 47,068 × 47,068
  4. Step 4: Simplify right side
    21,807x = 2,215,396,624
  5. Step 5: Solve for x
    x = 2,215,396,624/21,807
  6. Step 6: Final answer
    x = 101,591.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.